Математика список научных статей

Errata to Our Article2019 / Nikolay N. Osipov, Bella V. GulnovaWOSScopusВАКRSCIESCI

Limit Cycles for a Class of Polynomial Differential Systems Via Averaging Theory
In this paper, we consider the limit cycles of a class of polynomial differential systems of the form { x ̇ = y − ε(g11 (x)y2α+1 + f11 (x)y2α) − ε2(g12 (x)y2α+1 + f12 (x)y2α), y ̇ = −x − ε(g21 (x) y2α+1 + f21 (x) y2α) − ε2(g22 (x) y2α+1 + f22 (x) y2α), where m, n, k, l and α are positive integers,...
2019 / Ahmed Bendjeddou, Aziza Berbache, Abdelkrim KinaWOSScopusВАКRSCIESCI 
Theoretical and Numerical Result for Linear Optimization Problem Based on a New Kernel Function
The propose of this paper is to improve the complexity results of primaldual interiorpoint methods for linear optimization (LO) problem. We define a new proximity function for (LO) by a new kernel function wich is a combination of the classic kernel function and a barrier term. We present various ...
2019 / Louiza Derbal, Zakia KebbicheWOSScopusВАКRSCIESCI 
The variety of nilpotent Tortkara algebras
We give algebraic and geometric classification of all 5dimensional nilpotent Tortkara algebras over complex field.
2019 / Ilya B. Gorshkov, Ivan Kaygorodov, Alexey A. Kytmanov, Mohamed A. SalimWOSScopusВАКRSCIESCI 
Symmetries of Differential Ideals and Differential Equations
The paper deals with differential rings and partial differential equations with coefficients in some algebra. We introduce symmetries and the conservation laws to the differential ideal of an arbitrary differential ring. We prove that a set of symmetries of an ideal forms a Lie ring and give a...
2019 / Oleg V. KaptsovWOSScopusВАКRSCIESCI 
Logarithmic Barrier Method Via Minorant Function for Linear Programming
We propose in this study, a new logarithmic barrier approach to solve linear programming problem. We are interested in computation of the direction by Newton’s method and of the displacement step using minorant functions instead of line search methods in order to reduce the computation cost. Our...
2019 / Assma Leulmi, Soumia LeulmiWOSScopusВАКRSCIESCI 
On a Quantum Logical Element Associated with the Radical of a Complex Matrix
We construct new quantum logical elements realised by radicals of complex matrices. The geometry of these radicals is studied on the Reinhardt diagram.
2019 / Matvey E. Durakov, Anton S. Kerp, Anton S. LukotkinWOSScopusВАКRSCIESCI 
Heterogeneous System MMPP/GI(2)/∞ with Random Customers Capacities
A heterogeneous queuing system with an infinite number of servers is considered in this paper. Customers arrive in the system according to a Markov Modulated Poisson Process. The type of incoming customer is defined as itype with probability pi (i = 1, 2). Each customer carries a random quantity...
2019 / Ekaterina V. Pankratova, Svetlana P. Moiseeva, Mais P. Farhadov, Alexandr N. MoiseevWOSScopusВАКRSCIESCI 
Vector Bundle of Prym Differentials over Teichmu ̈ller Spaces of Surfaces with Punctures
In this paper we study multiplicative meromorphic functions and differentials on Riemann surfaces of finite type. We prove an analog of P.Appell’s formula on decomposition of multiplicative functions with poles of arbitrary multiplicity into a sum of elementary Prym integrals. We construct explicit ...
2019 / Alexander V. Chueshev, Victor V. ChueshevWOSScopusВАКRSCIESCI 
A Sufficient Condition for Absolute Continuity of Conjugations between Interval Exchange Maps
A class of topological equivalent generalized interval exchange maps of genus one and of the same bounded combinatorics is considered in the paper. A sufficient condition for absolute continuity of the conjugation between two maps from this class is provided.
2019 / Abdumajid S. BegmatovWOSScopusВАКRSCIESCI 
A Class of Quintic Kolmogorov Systems with Explicit Nonalgebraic Limit Cycle
Various physical, ecological, economic, etc phenomena are governed by planar differential systems. Subsequently, several research studies are interested in the study of limit cycles because of their interest in the understanding of these systems. The aim of this paper is to investigate a class of...
2019 / Ahmed Bendjeddou, Mohamed GrazemWOSScopusВАКRSCIESCI 
On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data
We study the Cauchy problem for the system of onedimensional loaded parabolic equations. Uniqueness and continuous dependence of solutions on the initial data in the class of smooth bounded functions is proved.
2019 / Igor V. Frolenkov, Irina S. Antipina, Natalya M. TerskikhWOSScopusВАКRSCIESCI 
Carleman Formula for the Maxwell Equation in a Cap Type Domain
We consider a Cauchy problem for the Maxwell equations in a cap type domain X in R3. We find reasonable solvability conditions and a Carleman formula for its solution.
2019 / Komil O. MakhmudovWOSScopusВАКRSCIESCI 
On Decomposition of a Binary Context Without Losing Formal Concepts
The #Pcomplete problem of finding all the formal concepts of a given context and the decomposition method for its solving are investigated. As parts of the decomposition is proposed to use fragments of the initial context, called boxes. Such decomposition allows to decompose the given context...
2019 / Choduraa M. Mongush, Valentina V. BykovaWOSScopusВАКRSCIESCI 
An Elementary Algorithm for Solving a Diophantine Equation of Degree Four with Runge’s Condition
We propose an elementary algorithm for solving a diophantine equation (p(x, y) + a1x + b1y)(p(x, y) + a2x + b2y) − dp(x, y) − a3x − b3y − c = 0 (∗) of degree four, where p(x, y) denotes an irreducible quadratic form of positive discriminant and (a1, b1) ̸= (a2,b2). The last condition guarantees...
2019 / Nikolai N. Osipov, Maria I. MedvedevaWOSScopusВАКRSCIESCI 
Group Analysis of Equations of Hydrostatic Model of Viscous Fluid
The group properties of threedimensional equations of hydrostatic model of viscous fluid are studied. Several exact solutions are presented. The free surface of fluid and pressure on this surface are determined.
2019 / Alexander A. Rodionov, Daria A. KrasnovaWOSScopusВАКRSCIESCI 
The Highest Dimension of Commutative Subalgebras in Chevalley Algebras
Let LΦ(K) denotes a Chevalley algebra with the root system Φ over a field K. In 1945 A.I.Mal’cev investigated the problem of describing abelian subgroups of highest dimension in complex simple Lie groups. He solved this problem by transition to complex Lie algebras and by reduction to the problem...
2019 / Galina S. SuleimanovaWOSScopusВАКRSCIESCI 
Global in Space Regularity Results for the Heat Equation with RobinNeumann Type Boundary Conditions in Timevarying Domains
This article deals with the heat equation ∂tu−∂x2u=f inD, D={(t,x)∈R2 :a<t<b,ψ(t)<x<+∞} with the function ψ satisfying some conditions and the problem is supplemented with boundary conditions of RobinNeumann type. We study the global regularity problem in a suitable parabolic Sobolev space. We...
2019 / Tahir Boudjeriou, Arezki KheloufiWOSScopusВАКRSCIESCI 
A Class of Local Linear Estimators with Functional Data
We introduce a local linear nonparametric estimation for the generalized regression function of a scalar response variable given a random variable taking values in a semi metric space. We establish a rate of uniform consistency for the proposed estimators. Then, based on a real data set we...
2019 / Sara Leulmi, Fatiha MessaciWOSScopusВАКRSCIESCI 
Illposed Boundaryvalue Problem for a System of Partial Differential Equations with Two Degenerate Lines
This paper is devoted to the investigation of illposed boundaryvalue problem for system of parabolic type equations with changing time direction with two degenerate lines. The problem under consideration is illposed in the sense of J.Hadamard, namely, there is no continuous dependence of the...
2019 / Kudratillo S. Fayazov, Yashin K. KhudayberganovWOSScopusВАКRSCIESCI